1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inna [77]
3 years ago
15

Find the solution to the system of the equations shown below:

Mathematics
2 answers:
Mars2501 [29]3 years ago
7 0

Answer:

(2,3)

Step-by-step explanation:

The given equations  are:

y=-4x+11

and

y=\frac{1}{2}x+2

Equate both equations:

\frac{1}{2}x+2=-4x+11

Multiply through by 2:

x+4=-8x+22

x+8x=22-4

9x=18

x=2

Put x=2 into the first equation:

y=-4(2)+11

y=-8+11

y=3

The solution is (2,3)

almond37 [142]3 years ago
6 0

Answer:

C. (2, 3)

Step-by-step explanation:

A <em>system of linear equations</em> is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all of them. What these equations do is relate the unknowns to each other.

Solve a system of equations is to find the value of each unknown so that all the equations of the system are met.

Ordering both equations

First equation

y=-4y+11

4x+y=11

Second equation

y=\frac{1}{2} x+2

-\frac{1}{2}x+y=2

Ordering in a system of equations

\left \{ {{4x+y=11} \atop {-\frac{1}{2}x+y=2}} \right.

Using the reduction method which consists of operating between the equations, such as adding or subtracting both equations, so that one of the unknowns disappears. Thus, we obtain an equation with a single unknown.

We're going to subtract the second equation from the first to eliminate the unknown y.

           4x + y = 11

   -  ((<u>-1/2)x + y = 2)</u>

       (9/2)x       =  9 ------>    x= [(2)(9)]/9 ----->  x = 2

Substituing the value x = 2 in y=\frac{1}{2} x+2

y = (1/2)x + 2 ---------> y = (1/2)(2) + 2 -------> y = (2/2) + 2

y = 1 + 2 --------> y = 3

The solution of the system of equations is (2, 3).

You might be interested in
Draw a line connecting each circle to the appropriate radius, diameter, and circumcerences.
Keith_Richards [23]

Answer:

Hope this helps

3 0
2 years ago
Name the plane that is highlighted in the diagram below
larisa86 [58]

The plane that is highlighted inside the given cuboid is called a Rectangle.

<h3>What is the Plane in the given solid?</h3>

A cross-section is the intersection of a solid and a plane. Plane Figures and defined as solid shapes.

In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. These figures demonstrate the shape of objects we see in our everyday lives. There are different types of 2D shapes and 3D shapes. The plane shapes are two-dimensional closed shapes with no thickness and are known as 2D shapes.

Solid shapes are nothing but solids with three dimensions: length, breadth, and height. Solid shapes are also known as 3D shapes.

Now, looking at the given figure we see that it is a cuboid and we see that the 2 dimensional plane cut through it is clearly a rectangle.

Thus, we can conclude that the plane that is highlighted inside the given cuboid is called a Rectangle.

Read more about Plane in Solid at; brainly.com/question/1609720

#SPJ1

3 0
1 year ago
Suppose an ant walks counterclockwise on the unit circle from the point to the endpoint of the radius that forms an angle of rad
serg [7]

Answer:

\frac{4\pi}{3}

Step-by-step explanation:

The original questions is suppose an ant walks counterclockwise on a unit circle from the point (1,0) to the endpoint of the radius that forms an angle of 240 degrees with the positive horizontal axis.

To find the distance ant walked we find the arc length of the sector with central angle 240 degree and radius =1 (unit circle)

arc length of a sector =\frac{centralangle}{360} \cdot 2\pi r

arc length of a sector =\frac{240}{360} \cdot 2\pi(1)

arc length of a sector =\frac{2}{3} \cdot 2\pi

\frac{4\pi}{3}

6 0
3 years ago
Write an equation of the line that passes through the points (1, 2) and (-2, 5)
igor_vitrenko [27]

Answer:

y=-1x+3

y-2=3(x-1)

Step-by-step explanation:

Slope: -1

y-intercept: 3

5 0
2 years ago
Store pays $50 for a pair of shoes. The markup is 25%.
monitta

Answer:

75%

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Other questions:
  • the length of a garden is 51 1/3 feet. one section of the fencing is 3 2/3 feet long. for each piece of the fencing 4 stakes are
    5·1 answer
  • How do you write 250% as a fraction, mixed number, or whole number in simplest form?
    8·1 answer
  • A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children? Show your work.
    11·1 answer
  • The radius of a right circular cylinder is decreasing at a rate of 2 inches per minute while the height is increasing at a rate
    6·1 answer
  • Explain how to convert 2.7 × 104 from scientific notation to standard form, then give the answer in standard form.
    12·2 answers
  • Kenny and Kylee's music players have the same capacity for music. Kenny's music player is full with 320 songs. His songs have an
    5·1 answer
  • A box contains 100 colored chips; some are yellow and some are green. John chooses a chip at random, records the color, and plac
    5·1 answer
  • Z+11≤17<br> What is the answer?
    12·1 answer
  • Please help, I would appreciate it thank you :)
    14·1 answer
  • When did we learn dis
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!